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Calculus II - Assignment for Unsolved Problem - Fall 2008 | MATH 151, Assignments of Calculus

University of San Diego (USD)Calculus
Prof. Cameron Parker

Material Type: Assignment; Professor: Parker; Class: Calculus II; Subject: Mathematics; University: University of San Diego; Term: Fall 2008;

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

koofers-user-5cm
koofers-user-5cm 🇺🇸

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Challenge Problem for October 1, 2008
1. Suppose f(x) = c3x3+c2x2+c1x+c0(i.e. any cubic function). Show that S2gives the exact
value of Z2
0
f(x)dx.
Note: The exact same argument works for Rb
af(x)dx but the algebra is a little more annoying.
You can do the more general one for extra credit if you like.
1

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Download Calculus II - Assignment for Unsolved Problem - Fall 2008 | MATH 151 and more Assignments Calculus in PDF only on Docsity!

Challenge Problem for October 1, 2008

  1. Suppose f (x) = c 3 x^3 + c 2 x^2 + c 1 x + c 0 (i.e. any cubic function). Show that S 2 gives the exact

value of

0

f (x) dx.

Note: The exact same argument works for

∫ (^) b a f^ (x)^ dx^ but the algebra is a little more annoying. You can do the more general one for extra credit if you like.